Finding the Third Proportional to 72,585 and 156,294

Step by Step Solution

1. Step 1: Write the proportion equation
   72,585 : 156,294 = 156,294 : x
2. Step 2: Convert to fraction form
   72,585/156,294 = 156,294/x
3. Step 3: Cross multiply
   72,585x = 156,294 × 156,294
4. Step 4: Simplify right side
   72,585x = 24,427,814,436
5. Step 5: Solve for x
   x = 24,427,814,436/72,585
6. Step 6: Final answer
   x = 336,540.81